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Finding the Fourth Proportional to 500.46, 753.77 and 423.96

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Solution

The fourth proportional to 500.46, 753.77 and 423.96 is: 638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 753.77 = 423.96 : x
  2. Step 2: Convert to fraction form
    500.46/753.77 = 423.96/x
  3. Step 3: Cross multiply
    500.46x = 753.77 × 423.96
  4. Step 4: Simplify right side
    500.46x = 319,566.21
  5. Step 5: Solve for x
    x = 319,566.21/500.46
  6. Step 6: Final answer
    x = 638.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.